Nonhydrostatic Dam Break Flows. II: One-Dimensional Depth-Averaged Modeling for Movable Bed Flows

Cantero-Chinchilla, Francisco N.; Castro-Orgaz, Óscar; Dey, Subhasish; Ayuso-Muñoz, J. L.

doi:10.1061/(asce)hy.1943-7900.0001206

Cited by 21 publications

(13 citation statements)

References 33 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The differences observed in the free surface may be explained by the rapid drop in the hydrostatic pressure. For instance, better approximations of the free surface for this case are achieved in [24] where a nonhydrostatic model is employed. The counterpart being that a non-hydrostatic model is computationally more expensive.…”

Section: Methodsmentioning

confidence: 99%

See 1 more Smart Citation

A robust model for rapidly varying flows over movable bottom with suspended and bedload transport: Modelling and numerical approach

González-Aguirre

Castro

Luna

2020

Advances in Water Resources

View full text Add to dashboard Cite

We propose a coupled model for suspended and bedload sediment transport in the shallow water framework. The model is deduced under hydrostatic pressure assumptions and will not assume any Bossinesq hypothesis. The numerical resolution is carried out in a segregated way. First the underlying system of conservation laws is solved by using a first order path-conservative Riemann solver. Then, the source terms corresponding with the erosion and depositions rates are approximated in a semi-implicit way. The final scheme preserves the positivity of the density. Several numerical experiments were carried out in order to validate the model and the numerical scheme. The results obtained are in good agreement with the experimental data.

show abstract

Section: Methodsmentioning

confidence: 99%

“…All of these models are based on the assumption of hydrostatic pressure. A more recent work [24] introduces a non-hydrostatic model for sediment transport.…”

Section: Introductionmentioning

confidence: 99%

A robust model for rapidly varying flows over movable bottom with suspended and bedload transport: Modelling and numerical approach

González-Aguirre

Castro

Luna

2020

Advances in Water Resources

View full text Add to dashboard Cite

show abstract

“…To give closure for the new velocity scales and the non-hydrostatic pressure terms, the moment-of-momentum equations were solved, in addition to momentum equations [10]. Since that time, many research efforts have been conducted to use VAM models in different water flow applications, including flow simulation in bends [11,12], simulation of non-equilibrium sediment transport [13,14], stability of bedforms [15], dam break analysis [16], rapidly varied flow applications [17], and mixing due to secondary current [18].…”

Section: Introductionmentioning

confidence: 99%

A Moment-Based Chezy Formula for Bed Shear Stress in Varied Flow

Elgamal

2021

Water

View full text Add to dashboard Cite

Despite its limitations, the Chezy bed shear stress formula is commonly used in depth-averaged flow numerical models as closure for estimating mutual tractive stresses with underneath boundaries. This paper proposes a novel moment-based formula that could be considered a revised version of the Chezy formula and can be used to estimate local variations of the bed shear stress under more complex and varied flow conditions with accelerating–decelerating flow fields. The formula depends on two velocity scales: the depth-averaged velocity, Uo, and a new moment-based velocity scale, u1. The new formula is calibrated using 10 experiments for flow over fixed bedforms, and the calibration coefficient is found to linearly correlate with h/Δ and h/zo ratios. The formula is also applied for the case of air flow across a negative step, jet water flow downstream a gate, and 2D water flow downstream an oblique negative step, and reasonably satisfactory agreement with the measured data is found. The new formula could be used in vertically averaged and moment models to disclose part of the information already lost by the vertical integration procedure.

show abstract

“…Many efforts are conducted, therefore, to increase the range of validity of the SWE by relaxing one or some of the shallow water hypotheses. In the river environment, these studies are rather recent [8][9][10]. However, there is a long tradition in maritime hydraulics working with higher order models accounting for a non-hydrostatic pressure distribution ( [11][12][13][14][15][16][17][18][19][20][21][22], among others).…”

Section: Introductionmentioning

confidence: 99%

Vertically Averaged and Moment Equations for Dam-Break Wave Modeling: Shallow Water Hypotheses

Cantero-Chinchilla

Bergillos

Gamero

et al. 2020

Water

Self Cite

View full text Add to dashboard Cite

The dam-break wave modeling technology relies upon the so-called shallow water equations (SWE), i.e., mass and momentum vertically averaged equations by implementing the shallow water hypotheses, namely (i) horizontal velocity component independent of the vertical coordinate, (ii) vertical velocity component is null, (iii) pressure distribution is hydrostatic, (iv) turbulence is neglected. While this model often yields a satisfactory answer from an engineering standpoint, flows with vertical length scales not negligible cannot be modeled with accuracy, including the undular surge generated after a dam break for relatively high tailwater levels. These flows are modeled by the Serre–Green–Naghdi equations (SGNE), which fail to mimic wave breaking for low tailwater levels, however. Neither SWE nor SGNE produce a fully satisfactory answer for modeling dam break waves, therefore. A higher-order model using vertically averaged and moment equations (VAM) is used in this work to simulate dam break waves, thereby showing good results for arbitrary values of the tailwater level. The model contains four perturbation parameters implemented to overcome the shallow water hypotheses; two for the velocity components and two for fluid pressure. The role of each parameter in relaxing the limitations of the SWE is systematically investigated, depicting a complex and necessary interplay between the dynamic component of fluid pressure and the modeling of the velocity profile in producing accurate solutions for both non-hydrostatic and broken waves in dam break flows. The results highlight how the shallow water hypotheses can be relaxed in the vertically averaged modeling of dam break waves, producing an outcome of both theoretical and practical interest in the field. The results generated are tested with available experimental data, resulting in acceptable agreement.

show abstract

Nonhydrostatic Dam Break Flows. II: One-Dimensional Depth-Averaged Modeling for Movable Bed Flows

Cited by 21 publications

References 33 publications

A robust model for rapidly varying flows over movable bottom with suspended and bedload transport: Modelling and numerical approach

A robust model for rapidly varying flows over movable bottom with suspended and bedload transport: Modelling and numerical approach

A Moment-Based Chezy Formula for Bed Shear Stress in Varied Flow

Vertically Averaged and Moment Equations for Dam-Break Wave Modeling: Shallow Water Hypotheses

Contact Info

Product

Resources

About